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Finding the Fourth Proportional to 89,977.80, 134,772.30 and 78,313.80

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Solution

The fourth proportional to 89,977.80, 134,772.30 and 78,313.80 is: 117,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,977.80 : 134,772.30 = 78,313.80 : x
  2. Step 2: Convert to fraction form
    89,977.80/134,772.30 = 78,313.80/x
  3. Step 3: Cross multiply
    89,977.80x = 134,772.30 × 78,313.80
  4. Step 4: Simplify right side
    89,977.80x = 10,554,530,947.74
  5. Step 5: Solve for x
    x = 10,554,530,947.74/89,977.80
  6. Step 6: Final answer
    x = 117,301.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.